IXL Skill Plan | Oklahoma Academic Standards: Algebra 2

Oklahoma Academic Standards: Algebra 2

Skills available for Oklahoma Algebra 2 standards

Section

Numbers & Operations
Algebraic Reasoning & Algebra
Functions
Data & Probability

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N	Numbers & Operations
A2.N.1 Extend the understanding of numbers and operations to include complex numbers, radical expressions, and expressions written with rational exponents.
A2.N.1 Extend the understanding of numbers and operations to include complex numbers, radical expressions, and expressions written with rational exponents.

A2.N.1.1: Find the value of iⁿ for any whole number n.		1. Powers of i
A2.N.1.1: Find the value of iⁿ for any whole number n.
1. Powers of i
A2.N.1.2: Simplify, add, subtract, multiply, and divide complex numbers.		Introduction to complex numbers 1. Introduction to complex numbers Operations 2. Add and subtract complex numbers 3. Complex conjugates 4. Multiply complex numbers 5. Divide complex numbers 6. Add, subtract, multiply, and divide complex numbers
A2.N.1.2: Simplify, add, subtract, multiply, and divide complex numbers.
Introduction to complex numbers 1. Introduction to complex numbers Operations 2. Add and subtract complex numbers 3. Complex conjugates 4. Multiply complex numbers 5. Divide complex numbers 6. Add, subtract, multiply, and divide complex numbers
A2.N.1.3: Understand and apply the relationship between rational exponents to integer exponents and radicals to solve problems.		Radical expressions 1. Roots of integers 2. Roots of rational numbers 3. Find roots using a calculator 4. Add and subtract radical expressions 5. Simplify radical expressions using the distributive property 6. Simplify radical expressions using conjugates Rational exponents 7. Evaluate rational exponents
A2.N.1.3: Understand and apply the relationship between rational exponents to integer exponents and radicals to solve problems.
Radical expressions 1. Roots of integers 2. Roots of rational numbers 3. Find roots using a calculator 4. Add and subtract radical expressions 5. Simplify radical expressions using the distributive property 6. Simplify radical expressions using conjugates Rational exponents 7. Evaluate rational exponents

A2.N.2 Extend the understanding of numbers and operations to matrices.
A2.N.2 Extend the understanding of numbers and operations to matrices.

A2.N.2.1: Use matrices to organize and represent data. Identify the order (dimension) of a matrix.		1. Matrix vocabulary
A2.N.2.1: Use matrices to organize and represent data. Identify the order (dimension) of a matrix.
1. Matrix vocabulary
A2.N.2.2: Use addition, subtraction, and scalar multiplication of matrices to solve problems.		1. Add and subtract matrices 2. Multiply a matrix by a scalar 3. Add and subtract scalar multiples of matrices
A2.N.2.2: Use addition, subtraction, and scalar multiplication of matrices to solve problems.
1. Add and subtract matrices 2. Multiply a matrix by a scalar 3. Add and subtract scalar multiples of matrices

A	Algebraic Reasoning & Algebra
A2.A.1 Represent and solve mathematical and real-world problems using nonlinear equations, systems of linear equations, and systems of linear inequalities; interpret the solutions in the original context.
A2.A.1 Represent and solve mathematical and real-world problems using nonlinear equations, systems of linear equations, and systems of linear inequalities; interpret the solutions in the original context.

A2.A.1.1: Use mathematical models to represent quadratic relationships and solve using factoring, completing the square, the quadratic formula, and various methods (including graphing calculator or other appropriate technology). Find non-real roots when they exist.		Square roots 1. Solve a quadratic equation using square roots Zero product property and factoring 2. Solve a quadratic equation using the zero product property 3. Solve a quadratic equation by factoring Completing the square 4. Complete the square 5. Solve a quadratic equation by completing the square Quadratic formula 6. Solve a quadratic equation using the quadratic formula 7. Using the discriminant Word problems 8. Solve quadratic equations: word problems
A2.A.1.1: Use mathematical models to represent quadratic relationships and solve using factoring, completing the square, the quadratic formula, and various methods (including graphing calculator or other appropriate technology). Find non-real roots when they exist.
Square roots 1. Solve a quadratic equation using square roots Zero product property and factoring 2. Solve a quadratic equation using the zero product property 3. Solve a quadratic equation by factoring Completing the square 4. Complete the square 5. Solve a quadratic equation by completing the square Quadratic formula 6. Solve a quadratic equation using the quadratic formula 7. Using the discriminant Word problems 8. Solve quadratic equations: word problems
A2.A.1.2: Use mathematical models to represent exponential relationships, such as compound interest, depreciation, and population growth. Solve these equations algebraically or graphically (including graphing calculator or other appropriate technology).		Exponential equations 1. Solve exponential equations by rewriting the base 2. Solve exponential equations using common logarithms 3. Solve exponential equations using natural logarithms Word problems 4. Exponential growth and decay: word problems 5. Compound interest: word problems 6. Continuously compounded interest: word problems
A2.A.1.2: Use mathematical models to represent exponential relationships, such as compound interest, depreciation, and population growth. Solve these equations algebraically or graphically (including graphing calculator or other appropriate technology).
Exponential equations 1. Solve exponential equations by rewriting the base 2. Solve exponential equations using common logarithms 3. Solve exponential equations using natural logarithms Word problems 4. Exponential growth and decay: word problems 5. Compound interest: word problems 6. Continuously compounded interest: word problems
A2.A.1.3: Solve one-variable rational equations and check for extraneous solutions.		1. Solve rational equations
A2.A.1.3: Solve one-variable rational equations and check for extraneous solutions.
1. Solve rational equations
A2.A.1.4: Solve polynomial equations with real roots using various methods (e.g., polynomial division, synthetic division, using graphing calculators or other appropriate technology).		1. Solve polynomial equations
A2.A.1.4: Solve polynomial equations with real roots using various methods (e.g., polynomial division, synthetic division, using graphing calculators or other appropriate technology).
1. Solve polynomial equations
A2.A.1.5: Solve square and cube root equations with one variable, and check for extraneous solutions.		1. Solve radical equations
A2.A.1.5: Solve square and cube root equations with one variable, and check for extraneous solutions.
1. Solve radical equations
A2.A.1.6: Solve common and natural logarithmic equations using the properties of logarithms.		Properties of logarithms 1. Identify properties of logarithms 2. Product property of logarithms 3. Quotient property of logarithms 4. Power property of logarithms 5. Properties of logarithms: mixed review 6. Evaluate logarithms using properties Solve equations 7. Solve logarithmic equations I 8. Solve logarithmic equations II
A2.A.1.6: Solve common and natural logarithmic equations using the properties of logarithms.
Properties of logarithms 1. Identify properties of logarithms 2. Product property of logarithms 3. Quotient property of logarithms 4. Power property of logarithms 5. Properties of logarithms: mixed review 6. Evaluate logarithms using properties Solve equations 7. Solve logarithmic equations I 8. Solve logarithmic equations II
A2.A.1.7: Represent and evaluate mathematical models using systems of linear equations with a maximum of three variables. Graphing calculators or other appropriate technology may be used.		Solutions 1. Is (x, y) a solution to the system of equations? 2. Find the number of solutions to a system of equations 3. Classify a system of equations Graphing 4. Solve a system of equations by graphing 5. Solve a system of equations by graphing: word problems Substitution 6. Solve a system of equations using substitution 7. Solve a system of equations using substitution: word problems Elimination 8. Solve a system of equations using elimination 9. Solve a system of equations using elimination: word problems Augmented matrices 10. Solve a system of equations using augmented matrices 11. Solve a system of equations using augmented matrices: word problems Any method 12. Solve a system of equations using any method 13. Solve a system of equations using any method: word problems Systems in three variables 14. Solve a system of equations in three variables using substitution 15. Solve a system of equations in three variables using elimination 16. Determine the number of solutions to a system of equations in three variables
A2.A.1.7: Represent and evaluate mathematical models using systems of linear equations with a maximum of three variables. Graphing calculators or other appropriate technology may be used.
Solutions 1. Is (x, y) a solution to the system of equations? 2. Find the number of solutions to a system of equations 3. Classify a system of equations Graphing 4. Solve a system of equations by graphing 5. Solve a system of equations by graphing: word problems Substitution 6. Solve a system of equations using substitution 7. Solve a system of equations using substitution: word problems Elimination 8. Solve a system of equations using elimination 9. Solve a system of equations using elimination: word problems Augmented matrices 10. Solve a system of equations using augmented matrices 11. Solve a system of equations using augmented matrices: word problems Any method 12. Solve a system of equations using any method 13. Solve a system of equations using any method: word problems Systems in three variables 14. Solve a system of equations in three variables using substitution 15. Solve a system of equations in three variables using elimination 16. Determine the number of solutions to a system of equations in three variables
A2.A.1.8: Use tools to solve systems of equations containing one linear equation and one quadratic equation. Graphing calculators or other appropriate technology may be used.		1. Solve a system of linear and quadratic equations by graphing: parabolas 2. Solve a system of linear and quadratic equations: parabolas 3. Solve a system of linear and quadratic equations: circles
A2.A.1.8: Use tools to solve systems of equations containing one linear equation and one quadratic equation. Graphing calculators or other appropriate technology may be used.
1. Solve a system of linear and quadratic equations by graphing: parabolas 2. Solve a system of linear and quadratic equations: parabolas 3. Solve a system of linear and quadratic equations: circles
A2.A.1.9: Solve systems of linear inequalities in two variables, with a maximum of three inequalities; graph and interpret the solutions on a coordinate plane. Graphing calculators or other appropriate technology may be used.		1. Is (x, y) a solution to the system of inequalities? 2. Solve systems of linear inequalities by graphing
A2.A.1.9: Solve systems of linear inequalities in two variables, with a maximum of three inequalities; graph and interpret the solutions on a coordinate plane. Graphing calculators or other appropriate technology may be used.
1. Is (x, y) a solution to the system of inequalities? 2. Solve systems of linear inequalities by graphing

A2.A.2 Generate and evaluate equivalent algebraic expressions and equations using various strategies.
A2.A.2 Generate and evaluate equivalent algebraic expressions and equations using various strategies.

A2.A.2.1: Factor polynomial expressions including, but not limited to, trinomials, differences of squares, sum and difference of cubes, and factoring by grouping, using a variety of tools and strategies.		Quadratics 1. Factor quadratics using algebra tiles 2. Factor quadratics Polynomials 3. Factor out a monomial 4. Factor using a quadratic pattern 5. Factor by grouping 6. Factor sums and differences of cubes 7. Factor polynomials
A2.A.2.1: Factor polynomial expressions including, but not limited to, trinomials, differences of squares, sum and difference of cubes, and factoring by grouping, using a variety of tools and strategies.
Quadratics 1. Factor quadratics using algebra tiles 2. Factor quadratics Polynomials 3. Factor out a monomial 4. Factor using a quadratic pattern 5. Factor by grouping 6. Factor sums and differences of cubes 7. Factor polynomials
A2.A.2.2: Add, subtract, multiply, divide, and simplify polynomial expressions.		1. Polynomial vocabulary 2. Add and subtract polynomials 3. Multiply polynomials 4. Divide polynomials using long division 5. Divide polynomials using synthetic division 6. Add, subtract, multiply, and divide polynomials
A2.A.2.2: Add, subtract, multiply, divide, and simplify polynomial expressions.
1. Polynomial vocabulary 2. Add and subtract polynomials 3. Multiply polynomials 4. Divide polynomials using long division 5. Divide polynomials using synthetic division 6. Add, subtract, multiply, and divide polynomials
A2.A.2.3: Add, subtract, multiply, divide, and simplify rational expressions.		1. Simplify rational expressions 2. Multiply and divide rational expressions 3. Add and subtract rational expressions
A2.A.2.3: Add, subtract, multiply, divide, and simplify rational expressions.
1. Simplify rational expressions 2. Multiply and divide rational expressions 3. Add and subtract rational expressions
A2.A.2.4: Recognize that a quadratic function has different equivalent representations [f(x)=ax² +bx+c, f(c) =a(x-h)² +k, and f(x)=a(x-p)(c-q)]. Identify and use the mathematical model that is most appropriate to solve problems.		Characteristics of quadratic functions 1. Characteristics of quadratic functions: equations Write a quadratic function 2. Write a quadratic function in vertex form 3. Write a quadratic function from its zeros 4. Write a quadratic function in vertex form from its vertex and another point Quadratic expressions 5. Interpret parts of quadratic expressions: word problems
A2.A.2.4: Recognize that a quadratic function has different equivalent representations [f(x)=ax² +bx+c, f(c) =a(x-h)² +k, and f(x)=a(x-p)(c-q)]. Identify and use the mathematical model that is most appropriate to solve problems.
Characteristics of quadratic functions 1. Characteristics of quadratic functions: equations Write a quadratic function 2. Write a quadratic function in vertex form 3. Write a quadratic function from its zeros 4. Write a quadratic function in vertex form from its vertex and another point Quadratic expressions 5. Interpret parts of quadratic expressions: word problems
A2.A.2.5: Rewrite algebraic expressions involving radicals and rational exponents using the properties of exponents.		Radical expressions 1. Simplify radical expressions with variables I 2. Simplify radical expressions with variables II 3. Nth roots 4. Multiply radical expressions 5. Simplify radical expressions involving fractions Rational exponents 6. Multiplication with rational exponents 7. Division with rational exponents 8. Power rule 9. Simplify expressions involving rational exponents I 10. Simplify expressions involving rational exponents II
A2.A.2.5: Rewrite algebraic expressions involving radicals and rational exponents using the properties of exponents.
Radical expressions 1. Simplify radical expressions with variables I 2. Simplify radical expressions with variables II 3. Nth roots 4. Multiply radical expressions 5. Simplify radical expressions involving fractions Rational exponents 6. Multiplication with rational exponents 7. Division with rational exponents 8. Power rule 9. Simplify expressions involving rational exponents I 10. Simplify expressions involving rational exponents II

A2.A.3 Represent and solve mathematical and real-world problems involving arithmetic and geometric sequences and series.
A2.A.3 Represent and solve mathematical and real-world problems involving arithmetic and geometric sequences and series.

A2.A.3.1: Recognize that arithmetic sequences are linear using equations, tables, graphs, and verbal descriptions. Using the pattern, find the next term.		1. Find terms of an arithmetic sequence 2. Write a formula for an arithmetic sequence
A2.A.3.1: Recognize that arithmetic sequences are linear using equations, tables, graphs, and verbal descriptions. Using the pattern, find the next term.
1. Find terms of an arithmetic sequence 2. Write a formula for an arithmetic sequence
A2.A.3.2: Recognize that geometric sequences are exponential using equations, tables, graphs, and verbal descriptions. Given the formula f(x) = a(r)x , find the next term and define the meaning of a and r within the context of the problem.		1. Find terms of a geometric sequence 2. Write a formula for a geometric sequence
A2.A.3.2: Recognize that geometric sequences are exponential using equations, tables, graphs, and verbal descriptions. Given the formula f(x) = a(r)x , find the next term and define the meaning of a and r within the context of the problem.
1. Find terms of a geometric sequence 2. Write a formula for a geometric sequence
A2.A.3.3: Solve problems that can be modeled using arithmetic sequences or series given the n^th terms and sum formulas. Graphing calculators or other appropriate technology may be used.		1. Find the sum of an arithmetic series 2. Partial sums of arithmetic series
A2.A.3.3: Solve problems that can be modeled using arithmetic sequences or series given the n^th terms and sum formulas. Graphing calculators or other appropriate technology may be used.
1. Find the sum of an arithmetic series 2. Partial sums of arithmetic series
A2.A.3.4: Solve problems that can be modeled using finite geometric sequences and series given the n ^th terms and sum formulas. Graphing calculators or other appropriate technology may be used.		1. Find the sum of a finite geometric series 2. Partial sums of geometric series 3. Convergent and divergent geometric series 4. Find the value of an infinite geometric series
A2.A.3.4: Solve problems that can be modeled using finite geometric sequences and series given the n ^th terms and sum formulas. Graphing calculators or other appropriate technology may be used.
1. Find the sum of a finite geometric series 2. Partial sums of geometric series 3. Convergent and divergent geometric series 4. Find the value of an infinite geometric series

F	Functions
A2.F.1 Understand functions as descriptions of covariation (how related quantities vary together).
A2.F.1 Understand functions as descriptions of covariation (how related quantities vary together).

A2.F.1.1: Use algebraic, interval, and set notations to specify the domain and range of various types of functions, and evaluate a function at a given point in its domain.		Evaluate functions 1. Evaluate functions 2. Complete a function table: quadratic functions 3. Evaluate exponential functions Set-builder and interval notation 4. Set-builder notation 5. Interval notation Domain and range 6. Domain and range 7. Domain and range of absolute value functions: graphs 8. Domain and range of absolute value functions: equations 9. Domain and range of quadratic functions: graphs 10. Domain and range of quadratic functions: equations 11. Domain and range of polynomials 12. Domain and range of radical functions 13. Domain and range of logarithmic functions
A2.F.1.1: Use algebraic, interval, and set notations to specify the domain and range of various types of functions, and evaluate a function at a given point in its domain.
Evaluate functions 1. Evaluate functions 2. Complete a function table: quadratic functions 3. Evaluate exponential functions Set-builder and interval notation 4. Set-builder notation 5. Interval notation Domain and range 6. Domain and range 7. Domain and range of absolute value functions: graphs 8. Domain and range of absolute value functions: equations 9. Domain and range of quadratic functions: graphs 10. Domain and range of quadratic functions: equations 11. Domain and range of polynomials 12. Domain and range of radical functions 13. Domain and range of logarithmic functions
A2.F.1.2: Identify the parent forms of exponential, radical (square root and cube root only), quadratic, and logarithmic functions. Predict the effects of transformations [f(x + c), f(x) + c, f(cx), and cf)x)] algebraically and graphically.		Translations 1. Translations of functions Reflections 2. Reflections of functions Dilations 3. Dilations of functions Mixed transformations 4. Transformations of quadratic functions 5. Function transformation rules 6. Transformations of functions 7. Describe function transformations
A2.F.1.2: Identify the parent forms of exponential, radical (square root and cube root only), quadratic, and logarithmic functions. Predict the effects of transformations [f(x + c), f(x) + c, f(cx), and cf)x)] algebraically and graphically.
Translations 1. Translations of functions Reflections 2. Reflections of functions Dilations 3. Dilations of functions Mixed transformations 4. Transformations of quadratic functions 5. Function transformation rules 6. Transformations of functions 7. Describe function transformations
A2.F.1.3: Graph a quadratic function. Identify the domain, range, x- and y-intercepts, maximum or minimum value, axis of symmetry, and vertex using various methods and tools that may include a graphing calculator or appropriate technology.		1. Characteristics of quadratic functions: graphs 2. Graph a quadratic function 3. Match quadratic functions and graphs 4. Domain and range of quadratic functions: graphs
A2.F.1.3: Graph a quadratic function. Identify the domain, range, x- and y-intercepts, maximum or minimum value, axis of symmetry, and vertex using various methods and tools that may include a graphing calculator or appropriate technology.
1. Characteristics of quadratic functions: graphs 2. Graph a quadratic function 3. Match quadratic functions and graphs 4. Domain and range of quadratic functions: graphs
A2.F.1.4: Graph exponential and logarithmic functions. Identify the domain, range, asymptotes, and x- and y-intercepts using various methods and tools that may include calculators or other appropriate technology. Recognize exponential decay and growth graphically and algebraically.		1. Graph exponential functions 2. Match exponential functions and graphs 3. Domain and range of logarithmic functions 4. Graph logarithmic functions
A2.F.1.4: Graph exponential and logarithmic functions. Identify the domain, range, asymptotes, and x- and y-intercepts using various methods and tools that may include calculators or other appropriate technology. Recognize exponential decay and growth graphically and algebraically.
1. Graph exponential functions 2. Match exponential functions and graphs 3. Domain and range of logarithmic functions 4. Graph logarithmic functions
A2.F.1.5: Analyze the graph of a polynomial function by identifying the domain, range, intercepts, zeros, relative maxima, relative minima, and intervals of increase and decrease.		1. Match polynomials and graphs 2. Domain and range of polynomials
A2.F.1.5: Analyze the graph of a polynomial function by identifying the domain, range, intercepts, zeros, relative maxima, relative minima, and intervals of increase and decrease.
1. Match polynomials and graphs 2. Domain and range of polynomials
A2.F.1.6: Graph a rational function and identify the domain (including holes), range, x- and y-intercepts, vertical and horizontal asymptotes, using various methods and tools that may include a graphing calculator or other appropriate technology (excluding slant or oblique asymptotes).		1. Rational functions: asymptotes and excluded values
A2.F.1.6: Graph a rational function and identify the domain (including holes), range, x- and y-intercepts, vertical and horizontal asymptotes, using various methods and tools that may include a graphing calculator or other appropriate technology (excluding slant or oblique asymptotes).
1. Rational functions: asymptotes and excluded values
A2.F.1.7: Graph a radical function (square root and cube root only). Identify the domain, range, and x- and y-intercepts using various methods and tools that may include a graphing calculator or other appropriate technology.		1. Domain and range of radical functions 2. Graph square root functions 3. Graph cube root functions
A2.F.1.7: Graph a radical function (square root and cube root only). Identify the domain, range, and x- and y-intercepts using various methods and tools that may include a graphing calculator or other appropriate technology.
1. Domain and range of radical functions 2. Graph square root functions 3. Graph cube root functions
A2.F.1.8: Graph piecewise functions with no more than three branches (linear, quadratic, or exponential). Analyze the function by identifying the domain, range, intercepts, and intervals for which it is increasing, decreasing, and constant using various methods and tools (e.g., graphing calculator, other appropriate technology).		1. Graph piecewise-defined functions
A2.F.1.8: Graph piecewise functions with no more than three branches (linear, quadratic, or exponential). Analyze the function by identifying the domain, range, intercepts, and intervals for which it is increasing, decreasing, and constant using various methods and tools (e.g., graphing calculator, other appropriate technology).
1. Graph piecewise-defined functions
A2.F.1.9: Recognize whether a discrete or continuous graphical representation is appropriate to create a graph based upon a mathematical model.		1. Identify graphs: word problems 2. Identify graphs of continuous functions
A2.F.1.9: Recognize whether a discrete or continuous graphical representation is appropriate to create a graph based upon a mathematical model.
1. Identify graphs: word problems 2. Identify graphs of continuous functions

A2.F.2 Analyze functions through algebraic combinations, compositions, and inverses if they exist.
A2.F.2 Analyze functions through algebraic combinations, compositions, and inverses if they exist.

A2.F.2.1: Add, subtract, multiply, and divide functions using function notation and recognize domain restrictions.		1. Add and subtract functions 2. Multiply functions 3. Divide functions 4. Add, subtract, multiply, and divide functions
A2.F.2.1: Add, subtract, multiply, and divide functions using function notation and recognize domain restrictions.
1. Add and subtract functions 2. Multiply functions 3. Divide functions 4. Add, subtract, multiply, and divide functions
A2.F.2.2: Combine functions by composition and recognize that g(x)=f^-1(x) the inverse function of f(x), if and only if f(g(x))=g(f(x))=x.		Composition of linear functions 1. Composition of linear functions: find a value 2. Composition of linear functions: find an equation Composition of linear and quadratic functions 3. Composition of linear and quadratic functions: find a value 4. Composition of linear and quadratic functions: find an equation Inverse functions 5. Identify inverse functions
A2.F.2.2: Combine functions by composition and recognize that g(x)=f^-1(x) the inverse function of f(x), if and only if f(g(x))=g(f(x))=x.
Composition of linear functions 1. Composition of linear functions: find a value 2. Composition of linear functions: find an equation Composition of linear and quadratic functions 3. Composition of linear and quadratic functions: find a value 4. Composition of linear and quadratic functions: find an equation Inverse functions 5. Identify inverse functions
A2.F.2.3: Find and graph the inverse of a function, if it exists, in mathematical models. Know that the domain of a function f is the range of the inverse function f^-1 and the range of the function f is the domain of the inverse function f^-1.		1. Find values of inverse functions from tables 2. Find values of inverse functions from graphs 3. Graphs of inverse functions 4. Find inverse functions and relations
A2.F.2.3: Find and graph the inverse of a function, if it exists, in mathematical models. Know that the domain of a function f is the range of the inverse function f^-1 and the range of the function f is the domain of the inverse function f^-1.
1. Find values of inverse functions from tables 2. Find values of inverse functions from graphs 3. Graphs of inverse functions 4. Find inverse functions and relations
A2.F.2.4: Apply the inverse relationship between exponential and logarithmic functions to convert from one form to another.		Convert between forms 1. Convert between exponential and logarithmic form: rational bases 2. Convert between natural exponential and logarithmic form 3. Convert between exponential and logarithmic form: all bases Evaluate logarithms 4. Evaluate logarithms 5. Evaluate natural logarithms Solve equations 6. Solve exponential equations using common logarithms 7. Solve exponential equations using natural logarithms 8. Solve logarithmic equations I 9. Solve logarithmic equations II
A2.F.2.4: Apply the inverse relationship between exponential and logarithmic functions to convert from one form to another.
Convert between forms 1. Convert between exponential and logarithmic form: rational bases 2. Convert between natural exponential and logarithmic form 3. Convert between exponential and logarithmic form: all bases Evaluate logarithms 4. Evaluate logarithms 5. Evaluate natural logarithms Solve equations 6. Solve exponential equations using common logarithms 7. Solve exponential equations using natural logarithms 8. Solve logarithmic equations I 9. Solve logarithmic equations II

D	Data & Probability
A2.D.1 Display, describe, and compare data. For linear and nonlinear relationships, make predictions and assess the reliability of those predictions.
A2.D.1 Display, describe, and compare data. For linear and nonlinear relationships, make predictions and assess the reliability of those predictions.

A2.D.1.1: Use the mean and standard deviation of a data set to create a normal distribution (bell-shaped curve).		1. Find probabilities using the normal distribution I 2. Find z-values 3. Find values of normal variables 4. Distributions of sample means
A2.D.1.1: Use the mean and standard deviation of a data set to create a normal distribution (bell-shaped curve).
1. Find probabilities using the normal distribution I 2. Find z-values 3. Find values of normal variables 4. Distributions of sample means
A2.D.1.2: Collect data and use scatter plots to analyze patterns and describe linear, exponential, or quadratic relationships between two variables.		Scatter plots 1. Interpret a scatter plot 2. Outliers in scatter plots Linear relationships 3. Find the equation of a regression line Linear, quadratic, and exponential relationships 4. Identify linear, quadratic, and exponential functions from graphs 5. Identify linear, quadratic, and exponential functions from tables 6. Exponential regression
A2.D.1.2: Collect data and use scatter plots to analyze patterns and describe linear, exponential, or quadratic relationships between two variables.
Scatter plots 1. Interpret a scatter plot 2. Outliers in scatter plots Linear relationships 3. Find the equation of a regression line Linear, quadratic, and exponential relationships 4. Identify linear, quadratic, and exponential functions from graphs 5. Identify linear, quadratic, and exponential functions from tables 6. Exponential regression
A2.D.1.3: Make predictions based upon the regression equation (linear, exponential, or quadratic), and use the correlation coefficient to assess the reliability of those predictions using graphing technology.		1. Match correlation coefficients to scatter plots 2. Calculate correlation coefficients 3. Interpret regression lines 4. Analyze a regression line of a data set
A2.D.1.3: Make predictions based upon the regression equation (linear, exponential, or quadratic), and use the correlation coefficient to assess the reliability of those predictions using graphing technology.
1. Match correlation coefficients to scatter plots 2. Calculate correlation coefficients 3. Interpret regression lines 4. Analyze a regression line of a data set

A2.D.2 Analyze statistical thinking to draw inferences, make predictions, and justify conclusions.
A2.D.2 Analyze statistical thinking to draw inferences, make predictions, and justify conclusions.

A2.D.2.1: Evaluate reports by making inferences, justifying conclusions, and determining appropriateness of data collection methods. Show how graphs and data can be distorted to support different points of view.		1. Identify biased samples 2. Experiment design
A2.D.2.1: Evaluate reports by making inferences, justifying conclusions, and determining appropriateness of data collection methods. Show how graphs and data can be distorted to support different points of view.
1. Identify biased samples 2. Experiment design
A2.D.2.2: Identify and explain misleading conclusions and graphical representations of data sets.		1. Identify representative, random, and biased samples
A2.D.2.2: Identify and explain misleading conclusions and graphical representations of data sets.
1. Identify representative, random, and biased samples
A2.D.2.3: Differentiate between correlation and causation when describing the relationship between two variables.		1. Correlation and causation
A2.D.2.3: Differentiate between correlation and causation when describing the relationship between two variables.
1. Correlation and causation